TY - JOUR
T1 - Package of facts and theorems for efficiently generating entanglement criteria for many qubits
AU - Wieniak, Marcin
AU - Maruyama, Koji
PY - 2012/6/19
Y1 - 2012/6/19
N2 - We present a package of mathematical theorems that allows us to construct multipartite-entanglement criteria. Importantly, establishing bounds for certain classes of entanglement does not take an optimization over continuous sets of states. These bonds are found from the properties of commutativity graphs of operators used in the criterion. We present two examples of criteria constructed according to our method. One of them detects genuine five-qubit entanglement without ever referring to correlations between all five qubits.
AB - We present a package of mathematical theorems that allows us to construct multipartite-entanglement criteria. Importantly, establishing bounds for certain classes of entanglement does not take an optimization over continuous sets of states. These bonds are found from the properties of commutativity graphs of operators used in the criterion. We present two examples of criteria constructed according to our method. One of them detects genuine five-qubit entanglement without ever referring to correlations between all five qubits.
UR - http://www.scopus.com/inward/record.url?scp=84862666456&partnerID=8YFLogxK
U2 - 10.1103/PhysRevA.85.062315
DO - 10.1103/PhysRevA.85.062315
M3 - 学術論文
AN - SCOPUS:84862666456
SN - 1050-2947
VL - 85
JO - Physical Review A - Atomic, Molecular, and Optical Physics
JF - Physical Review A - Atomic, Molecular, and Optical Physics
IS - 6
M1 - 062315
ER -